964537249 has 9 divisors (see below), whose sum is σ = 1044877113. Its totient is φ = 889969392.

The previous prime is 964537241. The next prime is 964537253. The reversal of 964537249 is 942735469.

The square root of 964537249 is 31057.

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

It can be written as a sum of positive squares in 4 ways, for example, as 380445025 + 584092224 = 19505^2 + 24168^2 .

It is not a de Polignac number, because 964537249 - 2³ = 964537241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (964537241) 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, 402547 + ... + 404935.

It is an arithmetic number, because the mean of its divisors is an integer number (116097457).

Almost surely, 2^964537249 is an apocalyptic number.

964537249 is the 31057-th square number.

964537249 is the 15529-th centered octagonal number.

It is an amenable number.

964537249 is a deficient number, since it is larger than the sum of its proper divisors (80339864).

964537249 is an frugal number, since it uses more digits than its factorization.

964537249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804 (or 2402 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 49.

The cubic root of 964537249 is about 988.0365291203.

Multiplying 964537249 by its sum of digits (49), we get a square (47262325201 = 217399²).

The spelling of 964537249 in words is "nine hundred sixty-four million, five hundred thirty-seven thousand, two hundred forty-nine".