225793967 has 32 divisors (see below), whose sum is σ = 285573120. Its totient is φ = 174065760.

The previous prime is 225793961. The next prime is 225793973. The reversal of 225793967 is 769397522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (225793961) and next prime (225793973).

It is a cyclic number.

It is not a de Polignac number, because 225793967 - 2²² = 221599663 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225793961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681992 + ... + 682322.

It is an arithmetic number, because the mean of its divisors is an integer number (8924160).

Almost surely, 2^225793967 is an apocalyptic number.

225793967 is a deficient number, since it is larger than the sum of its proper divisors (59779153).

225793967 is a wasteful number, since it uses less digits than its factorization.

225793967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603.

The product of its digits is 1428840, while the sum is 50.

The square root of 225793967 is about 15026.4422602291. The cubic root of 225793967 is about 608.9347771281.

The spelling of 225793967 in words is "two hundred twenty-five million, seven hundred ninety-three thousand, nine hundred sixty-seven".