9202401 has 12 divisors (see below), whose sum is σ = 14315028. Its totient is φ = 5662944.

The previous prime is 9202379. The next prime is 9202411. The reversal of 9202401 is 1042029.

It can be written as a sum of positive squares in 2 ways, for example, as 5198400 + 4004001 = 2280^2 + 2001^2 .

It is not a de Polignac number, because 9202401 - 2¹⁴ = 9186017 is a prime.

9202401 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9202411) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 39210 + ... + 39443.

It is an arithmetic number, because the mean of its divisors is an integer number (1192919).

Almost surely, 2^9202401 is an apocalyptic number.

It is an amenable number.

9202401 is a deficient number, since it is larger than the sum of its proper divisors (5112627).

9202401 is a wasteful number, since it uses less digits than its factorization.

9202401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78672 (or 78669 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 9202401 is about 3033.5459449298. The cubic root of 9202401 is about 209.5561373287.

It can be divided in two parts, 920 and 2401, that added together give a triangular number (3321 = T₈₁).

The spelling of 9202401 in words is "nine million, two hundred two thousand, four hundred one".