364116 has 24 divisors (see below), whose sum is σ = 894880. Its totient is φ = 114912.

The previous prime is 364103. The next prime is 364127. The reversal of 364116 is 611463.

364116 = T₁₁₉ + T₁₂₀ + ... + T₁₅₆.

It is a super-2 number, since 2×364116² = 265160922912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 364092 and 364101.

It is a congruent number.

It is an unprimeable number.

364116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571 + ... + 1026.

2³⁶⁴¹¹⁶ is an apocalyptic number.

It is an amenable number.

364116 is an abundant number, since it is smaller than the sum of its proper divisors (530764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

364116 is a wasteful number, since it uses less digits than its factorization.

364116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1621 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 364116 is about 603.4202515660. The cubic root of 364116 is about 71.4079536683.

Adding to 364116 its reverse (611463), we get a palindrome (975579).

It can be divided in two parts, 364 and 116, that multiplied together give a palindrome (42224).

The spelling of 364116 in words is "three hundred sixty-four thousand, one hundred sixteen".