84001825 has 12 divisors (see below), whose sum is σ = 106704108. Its totient is φ = 65561600.

The previous prime is 84001823. The next prime is 84001837. The reversal of 84001825 is 52810048.

It can be written as a sum of positive squares in 6 ways, for example, as 23270976 + 60730849 = 4824^2 + 7793^2 .

It is not a de Polignac number, because 84001825 - 2¹ = 84001823 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 84001793 and 84001802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84001823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39952 + ... + 42001.

It is an arithmetic number, because the mean of its divisors is an integer number (8892009).

Almost surely, 2^84001825 is an apocalyptic number.

It is an amenable number.

84001825 is a deficient number, since it is larger than the sum of its proper divisors (22702283).

84001825 is a wasteful number, since it uses less digits than its factorization.

84001825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82004 (or 81999 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 84001825 is about 9165.2509512833. The cubic root of 84001825 is about 437.9550856414.

The spelling of 84001825 in words is "eighty-four million, one thousand, eight hundred twenty-five".