129465 has 32 divisors (see below), whose sum is σ = 264960. Its totient is φ = 58752.

The previous prime is 129461. The next prime is 129469. The reversal of 129465 is 564921.

It is an interprime number because it is at equal distance from previous prime (129461) and next prime (129469).

It is not a de Polignac number, because 129465 - 2² = 129461 is a prime.

It is a super-2 number, since 2×129465² = 33522372450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129461) 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, 877 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (8280).

2¹²⁹⁴⁶⁵ is an apocalyptic number.

129465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

129465 is an abundant number, since it is smaller than the sum of its proper divisors (135495).

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

129465 is a wasteful number, since it uses less digits than its factorization.

129465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 129465 is about 359.8124511464. The cubic root of 129465 is about 50.5883822995.

The spelling of 129465 in words is "one hundred twenty-nine thousand, four hundred sixty-five".