35013000 has 128 divisors (see below), whose sum is σ = 119283840. Its totient is φ = 8480000.

The previous prime is 35012993. The next prime is 35013031. The reversal of 35013000 is 31053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32470 + ... + 33530.

It is an arithmetic number, because the mean of its divisors is an integer number (931905).

Almost surely, 2^35013000 is an apocalyptic number.

35013000 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 35013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59641920).

35013000 is an abundant number, since it is smaller than the sum of its proper divisors (84270840).

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

35013000 is a wasteful number, since it uses less digits than its factorization.

35013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 35013000 is about 5917.1783816275. The cubic root of 35013000 is about 327.1471249220.

Adding to 35013000 its reverse (31053), we get a palindrome (35044053).

The spelling of 35013000 in words is "thirty-five million, thirteen thousand".