164400951 has 16 divisors (see below), whose sum is σ = 257523840. Its totient is φ = 91972320.

The previous prime is 164400949. The next prime is 164400991. The reversal of 164400951 is 159004461.

It is a happy number.

It is not a de Polignac number, because 164400951 - 2¹ = 164400949 is a prime.

It is a super-3 number, since 3×164400951³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164400991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191181 + ... + 192038.

It is an arithmetic number, because the mean of its divisors is an integer number (16095240).

Almost surely, 2^164400951 is an apocalyptic number.

164400951 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

164400951 is a deficient number, since it is larger than the sum of its proper divisors (93122889).

164400951 is a wasteful number, since it uses less digits than its factorization.

164400951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383246.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 164400951 is about 12821.8934249197. The cubic root of 164400951 is about 547.8160790341.

The spelling of 164400951 in words is "one hundred sixty-four million, four hundred thousand, nine hundred fifty-one".