95964 has 24 divisors (see below), whose sum is σ = 244608. Its totient is φ = 29040.

The previous prime is 95959. The next prime is 95971. The reversal of 95964 is 46959.

95964 = 106² + 107² + ... + 113².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a plaindrome in base 9 and base 13.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (10192).

2⁹⁵⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

95964 is an abundant number, since it is smaller than the sum of its proper divisors (148644).

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 (122304).

95964 is a wasteful number, since it uses less digits than its factorization.

95964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 743 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 95964 is about 309.7805674990. The cubic root of 95964 is about 45.7828454153.

The spelling of 95964 in words is "ninety-five thousand, nine hundred sixty-four".