202461 has 16 divisors (see below), whose sum is σ = 319488. Its totient is φ = 111600.

The previous prime is 202441. The next prime is 202471. The reversal of 202461 is 164202.

It is not a de Polignac number, because 202461 - 2¹⁰ = 201437 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 202461.

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 202461.

It is not an unprimeable number, because it can be changed into a prime (202441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496 + ... + 806.

It is an arithmetic number, because the mean of its divisors is an integer number (19968).

2²⁰²⁴⁶¹ is an apocalyptic number.

202461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202461 is a deficient number, since it is larger than the sum of its proper divisors (117027).

202461 is a wasteful number, since it uses less digits than its factorization.

202461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 202461 is about 449.9566645800. The cubic root of 202461 is about 58.7192445029.

Adding to 202461 its reverse (164202), we get a palindrome (366663).

The spelling of 202461 in words is "two hundred two thousand, four hundred sixty-one".