37133106 has 16 divisors (see below), whose sum is σ = 78175200. Its totient is φ = 11726208.

The previous prime is 37133101. The next prime is 37133111. The reversal of 37133106 is 60133173.

37133106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (37133101) and next prime (37133111).

It is a super-2 number, since 2×37133106² = 2757735122414472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (37133101) 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 7 ways as a sum of consecutive naturals, for example, 162751 + ... + 162978.

It is an arithmetic number, because the mean of its divisors is an integer number (4885950).

Almost surely, 2^37133106 is an apocalyptic number.

37133106 is an abundant number, since it is smaller than the sum of its proper divisors (41042094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37133106 is a wasteful number, since it uses less digits than its factorization.

37133106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325753.

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 37133106 is about 6093.6939535884. The cubic root of 37133106 is about 333.6212913911.

Adding to 37133106 its reverse (60133173), we get a palindrome (97266279).

The spelling of 37133106 in words is "thirty-seven million, one hundred thirty-three thousand, one hundred six".