967272201 has 27 divisors (see below), whose sum is σ = 1626378663. Its totient is φ = 552353760.

The previous prime is 967272191. The next prime is 967272211. The reversal of 967272201 is 102272769.

The square root of 967272201 is 31101.

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

It is an interprime number because it is at equal distance from previous prime (967272191) and next prime (967272211).

It can be written as a sum of positive squares in only one way, i.e., 414081801 + 553190400 = 20349^2 + 23520^2 .

It is not a de Polignac number, because 967272201 - 2⁹ = 967271689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (967272211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 652381 + ... + 653861.

Almost surely, 2^967272201 is an apocalyptic number.

967272201 is the 31101-st square number.

967272201 is the 15551-st centered octagonal number.

It is an amenable number.

967272201 is a deficient number, since it is larger than the sum of its proper divisors (659106462).

967272201 is an equidigital number, since it uses as much as digits as its factorization.

967272201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The cubic root of 967272201 is about 988.9695093080.

Multiplying 967272201 by its sum of digits (36), we get a square (34821799236 = 186606²).

The spelling of 967272201 in words is "nine hundred sixty-seven million, two hundred seventy-two thousand, two hundred one".