32364045 has 48 divisors (see below), whose sum is σ = 64696320. Its totient is φ = 14660352.

The previous prime is 32364043. The next prime is 32364061. The reversal of 32364045 is 54046323.

32364045 = 83² + 84² + ... + 460².

It is not a de Polignac number, because 32364045 - 2¹ = 32364043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32364043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39601 + ... + 40409.

It is an arithmetic number, because the mean of its divisors is an integer number (1347840).

Almost surely, 2^32364045 is an apocalyptic number.

32364045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32364045 is a deficient number, since it is larger than the sum of its proper divisors (32332275).

32364045 is a wasteful number, since it uses less digits than its factorization.

32364045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 32364045 is about 5688.9405867877. The cubic root of 32364045 is about 318.6796015234.

The spelling of 32364045 in words is "thirty-two million, three hundred sixty-four thousand, forty-five".