496961 has 16 divisors (see below), whose sum is σ = 580608. Its totient is φ = 422400.

The previous prime is 496949. The next prime is 496963. The reversal of 496961 is 169694.

496961 = 104² + 105² + ... + 137².

It is a cyclic number.

It is not a de Polignac number, because 496961 - 2⁶ = 496897 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 496961.

It is not an unprimeable number, because it can be changed into a prime (496963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12101 + ... + 12141.

It is an arithmetic number, because the mean of its divisors is an integer number (36288).

2⁴⁹⁶⁹⁶¹ is an apocalyptic number.

496961 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

496961 is a deficient number, since it is larger than the sum of its proper divisors (83647).

496961 is a wasteful number, since it uses less digits than its factorization.

496961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112.

The product of its digits is 11664, while the sum is 35.

The square root of 496961 is about 704.9546084678. The cubic root of 496961 is about 79.2089219789.

The spelling of 496961 in words is "four hundred ninety-six thousand, nine hundred sixty-one".