164807401 has 16 divisors (see below), whose sum is σ = 193062528. Its totient is φ = 139014400.

The previous prime is 164807399. The next prime is 164807429. The reversal of 164807401 is 104708461.

164807401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 164807401 - 2¹ = 164807399 is a prime.

It is a super-2 number, since 2×164807401² = 54322958848749602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164807431) 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, 7071 + ... + 19483.

It is an arithmetic number, because the mean of its divisors is an integer number (12066408).

Almost surely, 2^164807401 is an apocalyptic number.

164807401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164807401 is a deficient number, since it is larger than the sum of its proper divisors (28255127).

164807401 is a wasteful number, since it uses less digits than its factorization.

164807401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12512.

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 164807401 is about 12837.7334837579. The cubic root of 164807401 is about 548.2671644261.

The spelling of 164807401 in words is "one hundred sixty-four million, eight hundred seven thousand, four hundred one".