7643625 has 64 divisors (see below), whose sum is σ = 14826240. Its totient is φ = 3456000.

The previous prime is 7643621. The next prime is 7643633. The reversal of 7643625 is 5263467.

It is not a de Polignac number, because 7643625 - 2² = 7643621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a d-powerful number, because it can be written as 7⁸ + 6³ + 4⁶ + 3¹³ + 6⁷ + 2⁷ + 5³ .

7643625 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7643621) 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, 70071 + ... + 70179.

It is an arithmetic number, because the mean of its divisors is an integer number (231660).

Almost surely, 2^7643625 is an apocalyptic number.

7643625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7643625 is a deficient number, since it is larger than the sum of its proper divisors (7182615).

7643625 is a wasteful number, since it uses less digits than its factorization.

7643625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 145 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 7643625 is about 2764.7106539383. The cubic root of 7643625 is about 196.9849851561.

The spelling of 7643625 in words is "seven million, six hundred forty-three thousand, six hundred twenty-five".