267813225 has 27 divisors (see below), whose sum is σ = 480123319. Its totient is φ = 142702800.

The previous prime is 267813197. The next prime is 267813233. The reversal of 267813225 is 522318762.

The square root of 267813225 is 16365.

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

It can be written as a sum of positive squares in only one way, i.e., 96412761 + 171400464 = 9819^2 + 13092^2 .

It is not a de Polignac number, because 267813225 - 2¹¹ = 267811177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 267813225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 244930 + ... + 246020.

Almost surely, 2^267813225 is an apocalyptic number.

267813225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

267813225 is the 16365-th square number.

267813225 is the 8183-rd centered octagonal number.

It is an amenable number.

267813225 is a deficient number, since it is larger than the sum of its proper divisors (212310094).

267813225 is an equidigital number, since it uses as much as digits as its factorization.

267813225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 1099 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The cubic root of 267813225 is about 644.5807623562.

Multiplying 267813225 by its sum of digits (36), we get a square (9641276100 = 98190²).

The spelling of 267813225 in words is "two hundred sixty-seven million, eight hundred thirteen thousand, two hundred twenty-five".