38532813 has 24 divisors (see below), whose sum is σ = 57085728. Its totient is φ = 23100000.

The previous prime is 38532787. The next prime is 38532821. The reversal of 38532813 is 31823583.

It is not a de Polignac number, because 38532813 - 2¹⁰ = 38531789 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38532853) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36138 + ... + 37188.

It is an arithmetic number, because the mean of its divisors is an integer number (2378572).

Almost surely, 2^38532813 is an apocalyptic number.

38532813 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

38532813 is a deficient number, since it is larger than the sum of its proper divisors (18552915).

38532813 is a wasteful number, since it uses less digits than its factorization.

38532813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1166 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 38532813 is about 6207.4804067351. The cubic root of 38532813 is about 337.7615728037.

It can be divided in two parts, 3853 and 2813, that added together give a palindrome (6666).

The spelling of 38532813 in words is "thirty-eight million, five hundred thirty-two thousand, eight hundred thirteen".