95952 has 20 divisors (see below), whose sum is σ = 248000. Its totient is φ = 31968.

The previous prime is 95947. The next prime is 95957. The reversal of 95952 is 25959.

It is an interprime number because it is at equal distance from previous prime (95947) and next prime (95957).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95957) by changing a digit.

95952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 952 + ... + 1047.

It is an arithmetic number, because the mean of its divisors is an integer number (12400).

2⁹⁵⁹⁵² is an apocalyptic number.

It is an amenable number.

95952 is an abundant number, since it is smaller than the sum of its proper divisors (152048).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124000).

95952 is a wasteful number, since it uses less digits than its factorization.

95952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2004 counting only the distinct ones).

The product of its digits is 4050, while the sum is 30.

The square root of 95952 is about 309.7611983448. The cubic root of 95952 is about 45.7809370016.

The spelling of 95952 in words is "ninety-five thousand, nine hundred fifty-two".