402135 has 32 divisors (see below), whose sum is σ = 725760. Its totient is φ = 188928.

The previous prime is 402133. The next prime is 402137. The reversal of 402135 is 531204.

402135 = 12² + 13² + ... + 106².

It is an interprime number because it is at equal distance from previous prime (402133) and next prime (402137).

It is not a de Polignac number, because 402135 - 2¹ = 402133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4804 + ... + 4886.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁴⁰²¹³⁵ is an apocalyptic number.

402135 is a deficient number, since it is larger than the sum of its proper divisors (323625).

402135 is a wasteful number, since it uses less digits than its factorization.

402135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 402135 is about 634.1411514797. The cubic root of 402135 is about 73.8114875516.

Adding to 402135 its reverse (531204), we get a palindrome (933339).

The spelling of 402135 in words is "four hundred two thousand, one hundred thirty-five".