35253000 has 96 divisors (see below), whose sum is σ = 119185560. Its totient is φ = 9398400.

The previous prime is 35252993. The next prime is 35253007. The reversal of 35253000 is 35253.

It is an interprime number because it is at equal distance from previous prime (35252993) and next prime (35253007).

It can be written as a sum of positive squares in 4 ways, for example, as 16016004 + 19236996 = 4002^2 + 4386^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (35253007) 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 23 ways as a sum of consecutive naturals, for example, 7042 + ... + 10958.

Almost surely, 2^35253000 is an apocalyptic number.

35253000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59592780).

35253000 is an abundant number, since it is smaller than the sum of its proper divisors (83932560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35253000 is a wasteful number, since it uses less digits than its factorization.

35253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 35253000 is about 5937.4236837201. The cubic root of 35253000 is about 327.8929107073.

Adding to 35253000 its reverse (35253), we get a palindrome (35288253).

35253000 divided by its reverse (35253) gives a cube (1000 = 10³).

The spelling of 35253000 in words is "thirty-five million, two hundred fifty-three thousand".