172137 has 12 divisors (see below), whose sum is σ = 267216. Its totient is φ = 98280.

The previous prime is 172127. The next prime is 172147. The reversal of 172137 is 731271.

It is an interprime number because it is at equal distance from previous prime (172127) and next prime (172147).

It is not a de Polignac number, because 172137 - 2⁷ = 172009 is a prime.

It is a super-2 number, since 2×172137² = 59262293538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (172127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (22268).

2¹⁷²¹³⁷ is an apocalyptic number.

It is an amenable number.

172137 is a deficient number, since it is larger than the sum of its proper divisors (95079).

172137 is a wasteful number, since it uses less digits than its factorization.

172137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1181 counting only the distinct ones).

The product of its digits is 294, while the sum is 21.

The square root of 172137 is about 414.8939623566. The cubic root of 172137 is about 55.6277392078.

The spelling of 172137 in words is "one hundred seventy-two thousand, one hundred thirty-seven".