85982415 has 16 divisors (see below), whose sum is σ = 139315200. Its totient is φ = 45276192.

The previous prime is 85982399. The next prime is 85982431. The reversal of 85982415 is 51428958.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85982399) and next prime (85982431).

It is not a de Polignac number, because 85982415 - 2⁴ = 85982399 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35095 + ... + 37464.

It is an arithmetic number, because the mean of its divisors is an integer number (8707200).

Almost surely, 2^85982415 is an apocalyptic number.

85982415 is a deficient number, since it is larger than the sum of its proper divisors (53332785).

85982415 is a wasteful number, since it uses less digits than its factorization.

85982415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72646.

The product of its digits is 115200, while the sum is 42.

The square root of 85982415 is about 9272.6703273653. The cubic root of 85982415 is about 441.3704088146.

The spelling of 85982415 in words is "eighty-five million, nine hundred eighty-two thousand, four hundred fifteen".