95991252 has 96 divisors (see below), whose sum is σ = 266993664. Its totient is φ = 26265600.

The previous prime is 95991251. The next prime is 95991257. The reversal of 95991252 is 25219959.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95991251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497268 + ... + 497460.

It is an arithmetic number, because the mean of its divisors is an integer number (2781184).

Almost surely, 2^95991252 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 95991252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133496832).

95991252 is an abundant number, since it is smaller than the sum of its proper divisors (171002412).

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

95991252 is a wasteful number, since it uses less digits than its factorization.

95991252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 427 counting only the distinct ones).

The product of its digits is 72900, while the sum is 42.

The square root of 95991252 is about 9797.5125414566. The cubic root of 95991252 is about 457.8717883208.

The spelling of 95991252 in words is "ninety-five million, nine hundred ninety-one thousand, two hundred fifty-two".