1007325 has 54 divisors (see below), whose sum is σ = 2036762. Its totient is φ = 475200.

The previous prime is 1007317. The next prime is 1007339. The reversal of 1007325 is 5237001.

It can be written as a sum of positive squares in 3 ways, for example, as 213444 + 793881 = 462^2 + 891^2 .

It is not a de Polignac number, because 1007325 - 2³ = 1007317 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1007298 and 1007307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 27207 + ... + 27243.

2^1007325 is an apocalyptic number.

1007325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1007325 is an abundant number, since it is smaller than the sum of its proper divisors (1029437).

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

1007325 is a wasteful number, since it uses less digits than its factorization.

1007325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 1007325 is about 1003.6558174992. The cubic root of 1007325 is about 100.2435729074.

The spelling of 1007325 in words is "one million, seven thousand, three hundred twenty-five".