95232 has 44 divisors (see below), whose sum is σ = 262016. Its totient is φ = 30720.

The previous prime is 95231. The next prime is 95233. The reversal of 95232 is 23259.

It is an interprime number because it is at equal distance from previous prime (95231) and next prime (95233).

95232 is a Rhonda number in base 10.

Its product of digits (540) is a multiple of the sum of its prime divisors (36).

It is a plaindrome in base 13.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 95199 and 95208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3057 + ... + 3087.

95232 is a Friedman number, since it can be written as 93*(2+2)^5, using all its digits and the basic arithmetic operations.

2^{95232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131008).

95232 is an abundant number, since it is smaller than the sum of its proper divisors (166784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

95232 is a wasteful number, since it uses less digits than its factorization.

95232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 36 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 95232 is about 308.5968243518. The cubic root of 95232 is about 45.6661397871. Note that the first 3 decimals are identical.

The spelling of 95232 in words is "ninety-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2976 3072 3968 5952 7936 11904 15872 23808 31744 47616 95232

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