402993 has 6 divisors (see below), whose sum is σ = 582114. Its totient is φ = 268656.

The previous prime is 402991. The next prime is 403001. The reversal of 402993 is 399204.

402993 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 400689 + 2304 = 633^2 + 48^2 .

It is not a de Polignac number, because 402993 - 2¹ = 402991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (402991) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22380 + ... + 22397.

It is an arithmetic number, because the mean of its divisors is an integer number (97019).

2⁴⁰²⁹⁹³ is an apocalyptic number.

It is an amenable number.

402993 is a deficient number, since it is larger than the sum of its proper divisors (179121).

402993 is a wasteful number, since it uses less digits than its factorization.

402993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44783 (or 44780 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 402993 is about 634.8172965507. The cubic root of 402993 is about 73.8639452826.

The spelling of 402993 in words is "four hundred two thousand, nine hundred ninety-three".