86088541 has 16 divisors (see below), whose sum is σ = 109526400. Its totient is φ = 67079040.

The previous prime is 86088467. The next prime is 86088547. The reversal of 86088541 is 14588068.

It is not a de Polignac number, because 86088541 - 2⁷ = 86088413 is a prime.

It is a super-2 number, since 2×86088541² = 14822473783017362, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86088494 and 86088503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86088547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7636 + ... + 15181.

It is an arithmetic number, because the mean of its divisors is an integer number (6845400).

Almost surely, 2^86088541 is an apocalyptic number.

It is an amenable number.

86088541 is a deficient number, since it is larger than the sum of its proper divisors (23437859).

86088541 is a wasteful number, since it uses less digits than its factorization.

86088541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22849 (or 22835 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 86088541 is about 9278.3910781988. The cubic root of 86088541 is about 441.5519250688.

It can be divided in two parts, 860 and 88541, that added together give a square (89401 = 299²).

The spelling of 86088541 in words is "eighty-six million, eighty-eight thousand, five hundred forty-one".