162400161 has 48 divisors (see below), whose sum is σ = 279072000. Its totient is φ = 83049120.

The previous prime is 162400153. The next prime is 162400177. The reversal of 162400161 is 161004261.

It is not a de Polignac number, because 162400161 - 2³ = 162400153 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162400151) 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 47 ways as a sum of consecutive naturals, for example, 107590 + ... + 109088.

It is an arithmetic number, because the mean of its divisors is an integer number (5814000).

Almost surely, 2^162400161 is an apocalyptic number.

162400161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

162400161 is a deficient number, since it is larger than the sum of its proper divisors (116671839).

162400161 is a wasteful number, since it uses less digits than its factorization.

162400161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 162400161 is about 12743.6321745411. The cubic root of 162400161 is about 545.5846611232.

The spelling of 162400161 in words is "one hundred sixty-two million, four hundred thousand, one hundred sixty-one".