86761917 has 48 divisors (see below), whose sum is σ = 142084800. Its totient is φ = 50561280.

The previous prime is 86761903. The next prime is 86761933. The reversal of 86761917 is 71916768.

It is not a de Polignac number, because 86761917 - 2⁶ = 86761853 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (127008) is a multiple of the sum of its prime factors (378).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86781917) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378759 + ... + 378987.

It is an arithmetic number, because the mean of its divisors is an integer number (2960100).

Almost surely, 2^86761917 is an apocalyptic number.

It is an amenable number.

86761917 is a deficient number, since it is larger than the sum of its proper divisors (55322883).

86761917 is a wasteful number, since it uses less digits than its factorization.

86761917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 375 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 86761917 is about 9314.6077212087. The cubic root of 86761917 is about 442.7001947733.

It can be divided in two parts, 86761 and 917, that added together give a palindrome (87678).

The spelling of 86761917 in words is "eighty-six million, seven hundred sixty-one thousand, nine hundred seventeen".