161937 has 12 divisors (see below), whose sum is σ = 246480. Its totient is φ = 102168.

The previous prime is 161923. The next prime is 161947. The reversal of 161937 is 739161.

161937 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 161937 - 2⁴ = 161921 is a prime.

161937 is strictly pandigital in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 161937.

It is not an unprimeable number, because it can be changed into a prime (161947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303 + ... + 644.

It is an arithmetic number, because the mean of its divisors is an integer number (20540).

2¹⁶¹⁹³⁷ is an apocalyptic number.

It is an amenable number.

161937 is a deficient number, since it is larger than the sum of its proper divisors (84543).

161937 is a wasteful number, since it uses less digits than its factorization.

161937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 969 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 161937 is about 402.4139659604. The cubic root of 161937 is about 54.5065502886.

It can be divided in two parts, 16 and 1937, that added together give a triangular number (1953 = T₆₂).

The spelling of 161937 in words is "one hundred sixty-one thousand, nine hundred thirty-seven".