131633397 has 64 divisors (see below), whose sum is σ = 240744960. Its totient is φ = 69368832.

The previous prime is 131633371. The next prime is 131633483. The reversal of 131633397 is 793336131.

131633397 is a `hidden beast` number, since 1 + 316 + 3 + 339 + 7 = 666.

It is not a de Polignac number, because 131633397 - 2¹⁰ = 131632373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131633597) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169903 + ... + 170675.

It is an arithmetic number, because the mean of its divisors is an integer number (3761640).

Almost surely, 2^131633397 is an apocalyptic number.

131633397 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

131633397 is a deficient number, since it is larger than the sum of its proper divisors (109111563).

131633397 is a wasteful number, since it uses less digits than its factorization.

131633397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 853 counting only the distinct ones).

The product of its digits is 30618, while the sum is 36.

The square root of 131633397 is about 11473.1598524556. The cubic root of 131633397 is about 508.6925333171.

The spelling of 131633397 in words is "one hundred thirty-one million, six hundred thirty-three thousand, three hundred ninety-seven".