35988001 has 9 divisors (see below), whose sum is σ = 41912499. Its totient is φ = 30810864.

The previous prime is 35987989. The next prime is 35988019. The reversal of 35988001 is 10088953.

The square root of 35988001 is 5999.

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., 33350625 + 2637376 = 5775^2 + 1624^2 .

It is not a de Polignac number, because 35988001 - 2¹¹ = 35985953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35988061) 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, 41565 + ... + 42421.

Almost surely, 2^35988001 is an apocalyptic number.

35988001 is the 5999-th square number.

35988001 is the 3000-th centered octagonal number.

It is an amenable number.

35988001 is a deficient number, since it is larger than the sum of its proper divisors (5924498).

35988001 is an frugal number, since it uses more digits than its factorization.

35988001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The cubic root of 35988001 is about 330.1560357897.

It can be divided in two parts, 35 and 988001, that added together give a square (988036 = 994²).

The spelling of 35988001 in words is "thirty-five million, nine hundred eighty-eight thousand, one".