85972956 has 12 divisors (see below), whose sum is σ = 200603592. Its totient is φ = 28657648.

The previous prime is 85972949. The next prime is 85972969. The reversal of 85972956 is 65927958.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 85972899 and 85972908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3582195 + ... + 3582218.

It is an arithmetic number, because the mean of its divisors is an integer number (16716966).

Almost surely, 2^85972956 is an apocalyptic number.

It is an amenable number.

85972956 is an abundant number, since it is smaller than the sum of its proper divisors (114630636).

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

85972956 is a wasteful number, since it uses less digits than its factorization.

85972956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7164420 (or 7164418 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 51.

The square root of 85972956 is about 9272.1602660869. The cubic root of 85972956 is about 441.3542230406.

The spelling of 85972956 in words is "eighty-five million, nine hundred seventy-two thousand, nine hundred fifty-six".