624961 has 2 divisors, whose sum is σ = 624962. Its totient is φ = 624960.

The previous prime is 624917. The next prime is 624973. The reversal of 624961 is 169426.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 600625 + 24336 = 775^2 + 156^2 .

It is a cyclic number.

It is not a de Polignac number, because 624961 - 2¹³ = 616769 is a prime.

624961 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (627961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 312480 + 312481.

It is an arithmetic number, because the mean of its divisors is an integer number (312481).

2⁶²⁴⁹⁶¹ is an apocalyptic number.

It is an amenable number.

624961 is a deficient number, since it is larger than the sum of its proper divisors (1).

624961 is an equidigital number, since it uses as much as digits as its factorization.

624961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 28.

The square root of 624961 is about 790.5447488915. The cubic root of 624961 is about 85.4970189219.

Subtracting from 624961 its reverse (169426), we obtain a triangular number (455535 = T₉₅₄).

The spelling of 624961 in words is "six hundred twenty-four thousand, nine hundred sixty-one".