164326761 has 9 divisors (see below), whose sum is σ = 237416439. Its totient is φ = 109525536.

The previous prime is 164326759. The next prime is 164326769. The reversal of 164326761 is 167623461.

It is a happy number.

The square root of 164326761 is 12819.

It is a perfect power (a square), and thus also a powerful number.

164326761 is a `hidden beast` number, since 1 + 643 + 2 + 6 + 7 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44555625 + 119771136 = 6675^2 + 10944^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 164326761 - 2¹ = 164326759 is a prime.

It is a super-2 number, since 2×164326761² = 54006568761502242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164326769) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36321 + ... + 40593.

Almost surely, 2^164326761 is an apocalyptic number.

164326761 is the 12819-th square number.

164326761 is the 6410-th centered octagonal number.

It is an amenable number.

164326761 is a deficient number, since it is larger than the sum of its proper divisors (73089678).

164326761 is an frugal number, since it uses more digits than its factorization.

164326761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8552 (or 4276 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The cubic root of 164326761 is about 547.7336614450.

Multiplying 164326761 by its sum of digits (36), we get a square (5915763396 = 76914²).

The spelling of 164326761 in words is "one hundred sixty-four million, three hundred twenty-six thousand, seven hundred sixty-one".