233407 has 2 divisors, whose sum is σ = 233408. Its totient is φ = 233406.

The previous prime is 233371. The next prime is 233417. The reversal of 233407 is 704332.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 233407 - 2⁷ = 233279 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116703 + 116704.

It is an arithmetic number, because the mean of its divisors is an integer number (116704).

2²³³⁴⁰⁷ is an apocalyptic number.

233407 is a deficient number, since it is larger than the sum of its proper divisors (1).

233407 is an equidigital number, since it uses as much as digits as its factorization.

233407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 233407 is about 483.1221377664. The cubic root of 233407 is about 61.5703031929.

Subtracting from 233407 its product of nonzero digits (504), we obtain a triangular number (232903 = T₆₈₂).

Adding to 233407 its reverse (704332), we get a palindrome (937739).

The spelling of 233407 in words is "two hundred thirty-three thousand, four hundred seven".