2629125 has 64 divisors (see below), whose sum is σ = 5241600. Its totient is φ = 1296000.

The previous prime is 2629117. The next prime is 2629127. The reversal of 2629125 is 5219262.

2629125 = 38² + 39² + ... + 199².

2629125 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 2629125 - 2³ = 2629117 is a prime.

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

It is a d-powerful number, because it can be written as 2³ + 6 + 2⁹ + 9⁶ + 1 + 2²¹ + 5 .

2629125 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2629127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64105 + ... + 64145.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

2^2629125 is an apocalyptic number.

2629125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2629125 is a deficient number, since it is larger than the sum of its proper divisors (2612475).

2629125 is a wasteful number, since it uses less digits than its factorization.

2629125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 68 counting only the distinct ones).

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

The square root of 2629125 is about 1621.4576775235. The cubic root of 2629125 is about 138.0184285408.

The spelling of 2629125 in words is "two million, six hundred twenty-nine thousand, one hundred twenty-five".