87692137 has 16 divisors (see below), whose sum is σ = 100411920. Its totient is φ = 76129536.

The previous prime is 87692131. The next prime is 87692219. The reversal of 87692137 is 73129678.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3254416 + 84437721 = 1804^2 + 9189^2 .

It is not a de Polignac number, because 87692137 - 2⁷ = 87692009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 87692093 and 87692102.

It is not an unprimeable number, because it can be changed into a prime (87692131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63183 + ... + 64555.

It is an arithmetic number, because the mean of its divisors is an integer number (6275745).

Almost surely, 2^87692137 is an apocalyptic number.

It is an amenable number.

87692137 is a deficient number, since it is larger than the sum of its proper divisors (12719783).

87692137 is a wasteful number, since it uses less digits than its factorization.

87692137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1403 counting only the distinct ones).

The product of its digits is 127008, while the sum is 43.

The square root of 87692137 is about 9364.4079898304. The cubic root of 87692137 is about 444.2767141915.

It can be divided in two parts, 87 and 692137, that added together give a square (692224 = 832²).

The spelling of 87692137 in words is "eighty-seven million, six hundred ninety-two thousand, one hundred thirty-seven".