1001925 has 36 divisors (see below), whose sum is σ = 1848964. Its totient is φ = 518400.

The previous prime is 1001911. The next prime is 1001933. The reversal of 1001925 is 5291001.

1001925 = 23² + 24² + ... + 144².

1001925 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 6 ways, for example, as 159201 + 842724 = 399^2 + 918^2 .

It is not a de Polignac number, because 1001925 - 2⁷ = 1001797 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001898 and 1001907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13689 + ... + 13761.

2^1001925 is an apocalyptic number.

1001925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001925 is a deficient number, since it is larger than the sum of its proper divisors (847039).

1001925 is a wasteful number, since it uses less digits than its factorization.

1001925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1001925 is about 1000.9620372422. The cubic root of 1001925 is about 100.0641255370.

Adding to 1001925 its reverse (5291001), we get a palindrome (6292926).

It can be divided in two parts, 100 and 1925, that added together give a square (2025 = 45²).

The spelling of 1001925 in words is "one million, one thousand, nine hundred twenty-five".