88205013 has 48 divisors (see below), whose sum is σ = 143829504. Its totient is φ = 51719040.

The previous prime is 88205009. The next prime is 88205071. The reversal of 88205013 is 31050288.

It is a happy number.

It is not a de Polignac number, because 88205013 - 2² = 88205009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88205813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300895 + ... + 301187.

It is an arithmetic number, because the mean of its divisors is an integer number (2996448).

Almost surely, 2^88205013 is an apocalyptic number.

88205013 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

88205013 is a deficient number, since it is larger than the sum of its proper divisors (55624491).

88205013 is a wasteful number, since it uses less digits than its factorization.

88205013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 88205013 is about 9391.7523923920. The cubic root of 88205013 is about 445.1411629755.

The spelling of 88205013 in words is "eighty-eight million, two hundred five thousand, thirteen".