33809157 has 40 divisors (see below), whose sum is σ = 53796600. Its totient is φ = 21119616.

The previous prime is 33809129. The next prime is 33809159. The reversal of 33809157 is 75190833.

It can be written as a sum of positive squares in 4 ways, for example, as 7584516 + 26224641 = 2754^2 + 5121^2 .

It is not a de Polignac number, because 33809157 - 2¹⁶ = 33743621 is a prime.

It is a super-2 number, since 2×33809157² = 2286118194101298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33809159) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86719 + ... + 87107.

It is an arithmetic number, because the mean of its divisors is an integer number (1344915).

Almost surely, 2^33809157 is an apocalyptic number.

33809157 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

33809157 is a deficient number, since it is larger than the sum of its proper divisors (19987443).

33809157 is a wasteful number, since it uses less digits than its factorization.

33809157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 33809157 is about 5814.5642141093. The cubic root of 33809157 is about 323.3539079502.

The spelling of 33809157 in words is "thirty-three million, eight hundred nine thousand, one hundred fifty-seven".