402541 has 2 divisors, whose sum is σ = 402542. Its totient is φ = 402540.

The previous prime is 402529. The next prime is 402551. The reversal of 402541 is 145204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 385641 + 16900 = 621^2 + 130^2 .

It is a cyclic number.

It is not a de Polignac number, because 402541 - 2⁹ = 402029 is a prime.

It is a super-3 number, since 3×402541³ = 195682333270879263, which contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (402511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201270 + 201271.

It is an arithmetic number, because the mean of its divisors is an integer number (201271).

2⁴⁰²⁵⁴¹ is an apocalyptic number.

It is an amenable number.

402541 is a deficient number, since it is larger than the sum of its proper divisors (1).

402541 is an equidigital number, since it uses as much as digits as its factorization.

402541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 402541 is about 634.4611887263. The cubic root of 402541 is about 73.8363194981.

Adding to 402541 its reverse (145204), we get a palindrome (547745).

It can be divided in two parts, 4025 and 41, that multiplied together give a triangular number (165025 = T₅₇₄).

The spelling of 402541 in words is "four hundred two thousand, five hundred forty-one".