161264601 has 45 divisors (see below), whose sum is σ = 259026031. Its totient is φ = 99966528.

The previous prime is 161264599. The next prime is 161264627. The reversal of 161264601 is 106462161.

The square root of 161264601 is 12699.

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

161264601 is a `hidden beast` number, since 1 + 6 + 12 + 646 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125552025 + 35712576 = 11205^2 + 5976^2 .

It is not a de Polignac number, because 161264601 - 2¹ = 161264599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (161264401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1942906 + ... + 1942988.

Almost surely, 2^161264601 is an apocalyptic number.

161264601 is the 12699-th square number.

161264601 is the 6350-th centered octagonal number.

It is an amenable number.

161264601 is a deficient number, since it is larger than the sum of its proper divisors (97761430).

161264601 is an frugal number, since it uses more digits than its factorization.

161264601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 161264601 is about 544.3100446153.

The spelling of 161264601 in words is "one hundred sixty-one million, two hundred sixty-four thousand, six hundred one".