88906041 has 27 divisors (see below), whose sum is σ = 149719791. Its totient is φ = 50690304.

The previous prime is 88906021. The next prime is 88906049. The reversal of 88906041 is 14060988.

It is a happy number.

The square root of 88906041 is 9429.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 54331641 + 34574400 = 7371^2 + 5880^2 .

It is not a de Polignac number, because 88906041 - 2⁵ = 88906009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 88905987 and 88906005.

It is not an unprimeable number, because it can be changed into a prime (88906049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 197785 + ... + 198233.

Almost surely, 2^88906041 is an apocalyptic number.

88906041 is the 9429-th square number.

88906041 is the 4715-th centered octagonal number.

It is an amenable number.

88906041 is a deficient number, since it is larger than the sum of its proper divisors (60813750).

88906041 is an equidigital number, since it uses as much as digits as its factorization.

88906041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The cubic root of 88906041 is about 446.3173370128.

Multiplying 88906041 by its sum of digits (36), we get a square (3200617476 = 56574²).

The spelling of 88906041 in words is "eighty-eight million, nine hundred six thousand, forty-one".