1023936001 has 9 divisors (see below), whose sum is σ = 1125870403. Its totient is φ = 930530920.

The previous prime is 1023935971. The next prime is 1023936013. The reversal of 1023936001 is 1006393201.

The square root of 1023936001 is 31999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 887980401 + 135955600 = 29799^2 + 11660^2 .

It is not a de Polignac number, because 1023936001 - 2⁹ = 1023935489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1023936041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 350535 + ... + 353443.

Almost surely, 2^1023936001 is an apocalyptic number.

1023936001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1023936001 is the 31999-th square number.

1023936001 is the 16000-th centered octagonal number.

It is an amenable number.

1023936001 is a deficient number, since it is larger than the sum of its proper divisors (101934402).

1023936001 is an frugal number, since it uses more digits than its factorization.

1023936001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The cubic root of 1023936001 is about 1007.9158411224.

Multiplying 1023936001 by its sum of digits (25), we get a square (25598400025 = 159995²).

It can be divided in two parts, 1023 and 936001, that added together give a square (937024 = 968²).

The spelling of 1023936001 in words is "one billion, twenty-three million, nine hundred thirty-six thousand, one".