402761 has 2 divisors, whose sum is σ = 402762. Its totient is φ = 402760.

The previous prime is 402757. The next prime is 402763. The reversal of 402761 is 167204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 383161 + 19600 = 619^2 + 140^2 .

It is a cyclic number.

It is not a de Polignac number, because 402761 - 2² = 402757 is a prime.

It is a Sophie Germain prime.

Together with 402763, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a Curzon number.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 402761.

It is not a weakly prime, because it can be changed into another prime (402763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201380 + 201381.

It is an arithmetic number, because the mean of its divisors is an integer number (201381).

2⁴⁰²⁷⁶¹ is an apocalyptic number.

It is an amenable number.

402761 is a deficient number, since it is larger than the sum of its proper divisors (1).

402761 is an equidigital number, since it uses as much as digits as its factorization.

402761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 402761 is about 634.6345405034. The cubic root of 402761 is about 73.8497682581.

Adding to 402761 its reverse (167204), we get a palindrome (569965).

The spelling of 402761 in words is "four hundred two thousand, seven hundred sixty-one".