85972637 has 4 divisors (see below), whose sum is σ = 86113500. Its totient is φ = 85831776.

The previous prime is 85972633. The next prime is 85972639. The reversal of 85972637 is 73627958.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 73627958 = 2 ⋅36813979.

It can be written as a sum of positive squares in 2 ways, for example, as 11909401 + 74063236 = 3451^2 + 8606^2 .

It is a cyclic number.

It is not a de Polignac number, because 85972637 - 2² = 85972633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85972591 and 85972600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85972633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69512 + ... + 70737.

It is an arithmetic number, because the mean of its divisors is an integer number (21528375).

Almost surely, 2^85972637 is an apocalyptic number.

It is an amenable number.

85972637 is a deficient number, since it is larger than the sum of its proper divisors (140863).

85972637 is a wasteful number, since it uses less digits than its factorization.

85972637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140862.

The product of its digits is 635040, while the sum is 47.

The square root of 85972637 is about 9272.1430640386. The cubic root of 85972637 is about 441.3536771629.

The spelling of 85972637 in words is "eighty-five million, nine hundred seventy-two thousand, six hundred thirty-seven".