86004261 has 72 divisors (see below), whose sum is σ = 155361024. Its totient is φ = 47355840.

The previous prime is 86004253. The next prime is 86004277. The reversal of 86004261 is 16240068.

It is not a de Polignac number, because 86004261 - 2³ = 86004253 is a prime.

It is a super-2 number, since 2×86004261² = 14793465820312242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86004221) 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, 369001 + ... + 369233.

It is an arithmetic number, because the mean of its divisors is an integer number (2157792).

Almost surely, 2^86004261 is an apocalyptic number.

86004261 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

86004261 is a deficient number, since it is larger than the sum of its proper divisors (69356763).

86004261 is a wasteful number, since it uses less digits than its factorization.

86004261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 86004261 is about 9273.8482303734. The cubic root of 86004261 is about 441.4077860754.

The spelling of 86004261 in words is "eighty-six million, four thousand, two hundred sixty-one".