126465 has 8 divisors (see below), whose sum is σ = 202368. Its totient is φ = 67440.

The previous prime is 126461. The next prime is 126473. The reversal of 126465 is 564621.

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

It is not a de Polignac number, because 126465 - 2² = 126461 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

126465 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (126461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4201 + ... + 4230.

It is an arithmetic number, because the mean of its divisors is an integer number (25296).

It is a Proth number, since it is equal to 247 ⋅ 2⁹ + 1 and 247 < 2⁹.

2¹²⁶⁴⁶⁵ is an apocalyptic number.

126465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126465 is a deficient number, since it is larger than the sum of its proper divisors (75903).

126465 is an equidigital number, since it uses as much as digits as its factorization.

126465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8439.

The product of its digits is 1440, while the sum is 24.

The square root of 126465 is about 355.6191783355. The cubic root of 126465 is about 50.1945751613.

The spelling of 126465 in words is "one hundred twenty-six thousand, four hundred sixty-five".