401965 has 8 divisors (see below), whose sum is σ = 510840. Its totient is φ = 302592.

The previous prime is 401959. The next prime is 401981. The reversal of 401965 is 569104.

It can be written as a sum of positive squares in 4 ways, for example, as 8836 + 393129 = 94^2 + 627^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 401965 - 2³ = 401957 is a prime.

It is a super-2 number, since 2×401965² = 323151722450, which contains 22 as substring.

401965 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2280 + ... + 2449.

It is an arithmetic number, because the mean of its divisors is an integer number (63855).

2⁴⁰¹⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

401965 is a deficient number, since it is larger than the sum of its proper divisors (108875).

401965 is a wasteful number, since it uses less digits than its factorization.

401965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 401965 is about 634.0070977521. The cubic root of 401965 is about 73.8010849741.

The spelling of 401965 in words is "four hundred one thousand, nine hundred sixty-five".