801465 has 32 divisors (see below), whose sum is σ = 1555200. Its totient is φ = 344064.

The previous prime is 801461. The next prime is 801469. The reversal of 801465 is 564108.

It is an interprime number because it is at equal distance from previous prime (801461) and next prime (801469).

It is not a de Polignac number, because 801465 - 2² = 801461 is a prime.

It is a super-2 number, since 2×801465² = 1284692292450, which contains 22 as substring.

801465 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (801461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1561 + ... + 2009.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

2⁸⁰¹⁴⁶⁵ is an apocalyptic number.

801465 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

801465 is a deficient number, since it is larger than the sum of its proper divisors (753735).

801465 is a wasteful number, since it uses less digits than its factorization.

801465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 801465 is about 895.2457763095. The cubic root of 801465 is about 92.8884081812. Note that the first 3 decimals are identical.

The spelling of 801465 in words is "eight hundred one thousand, four hundred sixty-five".