87613617 has 72 divisors (see below), whose sum is σ = 155667456. Its totient is φ = 43436736.

The previous prime is 87613609. The next prime is 87613619. The reversal of 87613617 is 71631678.

It is not a de Polignac number, because 87613617 - 2³ = 87613609 is a prime.

It is a super-2 number, since 2×87613617² = 15352291767645378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (87613619) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 689808 + ... + 689934.

It is an arithmetic number, because the mean of its divisors is an integer number (2162048).

Almost surely, 2^87613617 is an apocalyptic number.

It is an amenable number.

87613617 is a deficient number, since it is larger than the sum of its proper divisors (68053839).

87613617 is a wasteful number, since it uses less digits than its factorization.

87613617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 169 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 87613617 is about 9360.2145808737. The cubic root of 87613617 is about 444.1440720265.

The spelling of 87613617 in words is "eighty-seven million, six hundred thirteen thousand, six hundred seventeen".