35420 has 48 divisors (see below), whose sum is σ = 96768. Its totient is φ = 10560.

The previous prime is 35419. The next prime is 35423. The reversal of 35420 is 2453.

35420 = 63² + 64² + ... + 70².

It is a super-3 number, since 3×35420³ = 133311288264000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 14 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 35395 and 35404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1529 + ... + 1551.

It is an arithmetic number, because the mean of its divisors is an integer number (2016).

2³⁵⁴²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384).

35420 is an abundant number, since it is smaller than the sum of its proper divisors (61348).

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

35420 is a wasteful number, since it uses less digits than its factorization.

35420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 35420 is about 188.2020191178. The cubic root of 35420 is about 32.8409858452.

Adding to 35420 its reverse (2453), we get a palindrome (37873).

The spelling of 35420 in words is "thirty-five thousand, four hundred twenty".